Existence of traveling waves in a Nicholson Blowflies model with delayed diffusion term

In this paper we consider traveling waves for a diffusive Nicholson Blowflies equation with different discrete time delays in the diffusion term and birth function. We will use a modified Perron theorem and monotone iterative method to show existence of a fixed point. We develop a monotone iteration method starting from proper quasi upper/lower solutions.

Authors

Publication Details

Journal
Proceedings of the American Mathematical Society
Published
2025-02-13
DOI
https://doi.org/10.1090/proc/17233
Citations
2
Primary Topic
Mathematical and Theoretical Epidemiology and Ecology Models
Type
article
Field-Weighted Citation Impact
3.76
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article

Existence of traveling waves in a Nicholson Blowflies model with delayed diffusion term

William Barker
2 citations
Proceedings of the American Mathematical Society
Mathematical and Theoretical Epidemiology and Ecology Models
3.76
article

Existence of traveling waves in a Nicholson Blowflies model with delayed diffusion term

William Barker
article en
2 citations

Abstract

In this paper we consider traveling waves for a diffusive Nicholson Blowflies equation with different discrete time delays in the diffusion term and birth function. We will use a modified Perron theorem and monotone iterative method to show existence of a fixed point. We develop a monotone iteration method starting from proper quasi upper/lower solutions.

Proceedings of the American Mathematical SocietyVol. 153(8)
Climate action
Openalex Percentile: Top 9%
Mathematical and Theoretical Epidemiology and Ecology Models
3.76
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Existence of traveling waves in a Nicholson Blowflies model with delayed diffusion term — William Barker · Proceedings of the American Mathematical Society (2025) | TGRS Research Map | TGRS